Savanna wants to calculate the angle between two pieces of wood in an art design. She finds the sine of this angle to be 0.42. What is the measure of this angle rounded to the nearest degree?

Answer 1

To find the angle whose sine is 0.42, we can use the inverse sine function, denoted as \(\sin^{-1}\) or \(\arcsin\).

Calculating the angle:

\[ \theta = \sin^{-1}(0.42) \]

Using a calculator to find the angle:

\[ \theta \approx 24.94^\circ \]

Now, rounding this to the nearest degree:

\[ \theta \approx 25^\circ \]

Therefore, the measure of the angle rounded to the nearest degree is

\[ \boxed{25} \]